Perhaps you might consider switching if that is the only way that you can get control over the information about you that leaks out on many pages that you visit, words on pages that your mouse hovers over, words that you type in, friends you make, and so on.

Do you think that it might be impossible to get control over all of that information?

It is possible, and it is happening.

"Users also get a share of BATs for participating."

Not saying it's a good answer, but it's right there on the page.

It hurts advertisers, but not as much as by blocking them. It's a compromise where you can support the owner of the site you're visiting without having to pay money, and without dealing with invasive ad trackers.